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Rashid [163]
3 years ago
11

on a recent homework assignment, Eli needed to solve the equation d^2 = 49. He icorrectly wrote g = -7

Mathematics
1 answer:
Liula [17]3 years ago
5 0

Answer:

The solution set is  {-7, 7}.

Step-by-step explanation:

He was half right .There are 2 solution d = -7 and d = 7.

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The LB Company has long manufactured a light bulb with an average life of 5400 hours. Company researchers have recently develope
elena55 [62]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the average life of light bulbs.

As per given , we have

Null hypothesis : H_0 : \mu =5400

Alternative hypothesis : H_a : \mu >5400

Since H_a is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Formula for Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

\sigma=population standard deviation

For n=95,\ \overline{x}=5483\ \&\ \sigma=500, we have

z=\dfrac{5483-5400}{\dfrac{500}{\sqrt{95}}}=1.61796786124\approx1.6180

Using z-value table , Critical one-tailed test value for 0.06 significance level :

z_{0.06}=1.5548

 Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .

[We reject the null hypothesis when critical value is less than the test statistic value .]

Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life

8 0
3 years ago
1. The perimeter of a piece of paper is 18 cm.
OlgaM077 [116]

Answer:

a) length = 3 and width = 6

Area of the rectangle = 3 × 6 = 18 cm²

b)  length = 7 and width = 2

Area of the rectangle = 7 × 2 = 14 cm²

c)  length = 5 and width = 4

Area of the rectangle = 5× 4 = 20 cm²

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given perimeter of the paper = 18 cm

we know that the paper has a rectangle shape

The perimeter of the rectangle = 18 cm

 2( l + w ) = 18

a)

we choose length = 3 and width = 6

The perimeter of the rectangle = 2( 3+6) = 18 cm

Area of the rectangle = 3 × 6 = 18 cm²

b)

we choose length = 7 and width = 2

The perimeter of the rectangle = 2( 7+2) = 18 cm

Area of the rectangle = 7 × 2 = 14 cm²

c)

we choose length = 5 and width = 4

The perimeter of the rectangle = 2( 5+4) = 18 cm

Area of the rectangle = 5× 4 = 20 cm²

3 0
2 years ago
How would I find k , L , and M. Giving Brainly
SSSSS [86.1K]
Angle L is equal to angle N, so angle L is equal to 119. Angle k and angle L is equal to 61.
8 0
3 years ago
A starting carpenter can build a rough table in 1 hour, and a rough chair in 45 minutes. A finishing carpenter can finish each t
Delvig [45]

Answer:

I believe it is b

Step-by-step explanation:


3 0
3 years ago
Complete the solution of the equation find the value of y when x equals 2. -8x - 5y = -1
tatuchka [14]

Answer: y = -3

<u>Step-by-step explanation:</u>

-8x - 5y = -1

<u>+8x        </u>  <u>+8x </u>

       -5y = 8x  - 1

       <u> ÷-5 </u> <u> ÷-5</u>  <u>÷-5</u>

           y = -\frac{8}{5}x + \frac{1}{5}

       y(2) = -\frac{8}{5}(2) + \frac{1}{5}

               = -\frac{16}{5} + \frac{1}{5}

               = -\frac{15}{5}

                = -3

6 0
3 years ago
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